42005600702760 has 256 divisors, whose sum is σ = 130762206144000. Its totient is φ = 10786475814912.

The previous prime is 42005600702701. The next prime is 42005600702803. The reversal of 42005600702760 is 6720700650024.

It is a happy number.

It is a super-2 number, since 2×42005600702760² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 183137509 + ... + 183366731.

It is an arithmetic number, because the mean of its divisors is an integer number (510789867750).

Almost surely, 2^{42005600702760} is an apocalyptic number.

42005600702760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42005600702760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65381103072000).

42005600702760 is an abundant number, since it is smaller than the sum of its proper divisors (88756605441240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42005600702760 is a wasteful number, since it uses less digits than its factorization.

42005600702760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229700 (or 229696 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 42005600702760 in words is "forty-two trillion, five billion, six hundred million, seven hundred two thousand, seven hundred sixty".